Expand or factor each of the following expressions to determine which expressions are equivalent.

(3x - 4y) ²

912 + 31 - 20

(41 - 3y) ²

(3x - 2) (9x2 + 6x + 4)

(3x + 5) (3x - 4)

(31 + 2) (912 - 61 + 4)

9.12 - 2414 + 1672

2713 - 8

1. 9x^2-24xy16y^2

2.

3.9y^2-246y+1681

4. 18x^2+54x-44

Step-by-step explanation:

1. (3x) ^2-2*3x*4y + (4y) ^2

9x^2-2*3x4y + (4y) ^2

9x^2-24xy + (4y) ^2

9x^2-24xy+16y^2

Ans: 9x^2-24xy+16y^2 the (*) are times

2. 912+31-20=923

ANS: 13*71

3. 1681-246y+9y^2

9y^2-246y+1681

ANS : 9y^2-246y+1681

4. 3x * (9*2+6x+4) - 2 (9*2+6x+4)

54x+18^2+12x-2 (9*2+6x+4)

54x+18x^2+12x-36-12x-8

54x+18^2+12x-36-12x-8

54x+18x^2-36-8

18x^2+54x-36-8

18x^2+54x-44

Ans: 18x^2+54x-44

5. 3x*3x-3x*4+5*3x-5*4

9x^2-3x*4+5*3x-5*4

9x^2-12x+5*3x-5*4

9x^2-12x+15x-5*4

9x^2-12x+15x-20

ANS: 9x^2+3x-20

6. (31+2) (912-61+4) = 28215

ANS : 3^3*5*11*19

7. 9.12-2414+1672

912/100-2414+1672

2^4*3*19/2^2*5^2 - 2414+1672

2^4-2*3*19/5^2 - 2414+1672

2^2*3*19/5^2 - 742

(2^2*3*19) - 5^2) 742/5^2

(4*3*19) - 25*742/5^2

228-18550/5^2

18322/5^2

8. 2713-8

2705

ANS: 5*541